Lesson 14.4 Assignment Name_________________________________________________________ Date__________________________ Picking a Player Calculating and Interpreting the Mean Absolute Deviation 1. The Greenfield Company makes air conditioner units to sell to home construction companies. They get some of the parts for the air conditioner from another company. Unfortunately, this company is going out of business, so they must find a new source for the parts that they use. They narrow it down to two companies, Company A and Company B. They look at some samples for the number of days it takes each company to fill orders. The data is as follows: Company A: 8, 6, 5, 9, 12, 15, 6, 9, 12, 8 Company B: 8, 10, 9, 8, 9, 8, 9, 10, 11, 8 a. Calculate the mean number of days it takes each company to fill the orders. b. Based on the mean number of days it takes for each company to fill orders from which © Carnegie Learning company should Greenfield choose to get their parts? Chapter 14 Assignments • 237 462353_C3_Assign_CH14_225-242.indd 237 28/03/13 10:46 AM Lesson 14.4 Assignment page 2 c. The dot plots of the data for each company are shown. Based on the dot plots, which company do you think has less variation in the number of days to fill an order? 5 6 8 9 Company A 8 9 10 11 Company B 12 15 d. Determine the absolute deviations for the number of days it takes to fill an order. Record your answers in the table. Calculation of Deviation Deviation Number from the from the Absolute of Days Mean Mean Deviation Company B Number of Days 8 8 6 10 5 9 9 8 12 9 15 8 6 9 9 10 12 11 8 8 Calculation of Deviation from the Mean Deviation from the Absolute Mean Deviation © Carnegie Learning Company A 238 • Chapter 14 Assignments 462353_C3_Assign_CH14_225-242.indd 238 28/03/13 10:46 AM Lesson 14.4 Assignment page 3 Name_________________________________________________________ Date__________________________ e. Calculate the mean absolute deviation for each company. f.What does the mean absolute deviation tell you about the number of days to fill the order for each company? g.If you were in charge of the Greenfield company, which company would you choose? Explain © Carnegie Learning your reasoning. Chapter 14 Assignments • 239 462353_C3_Assign_CH14_225-242.indd 239 28/03/13 10:46 AM Lesson 14.4 Assignment page 4 2. A company has decided to run some tests on the assembly times of their air conditioners. They are concerned that the day shifts and evening shifts are not assembling the air conditioners with the same rates and consistency. The sample data they collect is as follows: Day Shift (assembly time in hours): 2.5, 3, 2.75, 3, 3.25 Evening Shift (assembly time in hours): 3, 3.5, 4, 4.5, 5 a.Use a graphing calculator to calculate the mean and mean absolute deviation for each shift. b. Based on your results from part (a), should the company be concerned that the day shift and the night shift are not assembling the air conditioners with the same rates and consistency? © Carnegie Learning Explain your reasoning. 240 • Chapter 14 Assignments 462353_C3_Assign_CH14_225-242.indd 240 28/03/13 10:46 AM

© Copyright 2018